[Homework Home > Forces_and_Newton's_Law]

[1]A force acts on a kg mass and gives it an acceleration of m/s2 . How strong is the force that does this? And, what acceleration would the force product on a kg mass?

[2]A horizontal cable pull a kg cart along a horizontal track. The tension in the cable is N . Starting from rest

a) how long will it take the cart to reach a speed of m/s ?

b) how far will it have gone?

[3]A kg car is going m/s along a level road. How large a constant retarding force is required to stop it in a distance of m ?

[4]A kg box is sliding across the floor to the right. It slows down from m/s to m/s in s . Assuming that the force on the box is constant, find the magnitude and direction of the force.

[5]An astronaut has a mass of kg . Compute his weight on both Earth and Mars (on Mars, g=3.8 m/s2). What is his mass on each planet?

[6]Two blocks are connected by a rope, through a pulley as shown in this figure. The block on the table has mass m1= kg and the hanging block has mass m2= kg . The table and pulley are both frictionless. Find T, the tension in the connecting rope, and the acceleration of the blocks.

[7]A block of mass m= kg is hanging from a rope as shown. If \theta1= degrees and \theta2= degrees . What are the tensions, T1, T2, and T3 in the two ropes?

[8]A block of mass m= kg sits at the top of an inclined plane of angle \theta= degrees . The inclined plane has a length of d= m and is frictionless. How long does it take the block to slide to the bottom of the incline?

[9]A block of mass m= kg is sitting on an inclined plane, whose angle is \theta= degrees as shown. Find the tension T in the rope, which is holding the block from sliding down the incline.

[10]Two blocks are hanging over a frictionless pulley as shown. One has mass m1= kg and the other has mass m2= kg . What is the tension, T, in the rope, and what is the acceleration of the blocks?

[11]Two blocks, one of mass m1= kg and the other of mass m2= kg are an an inclined plane as shown. The angle of the incline is \theta= degrees . Find the tension, T, in the rope that connects them through the frictionless pulley, and the acceleration, a, of the blocks.

[12]Two blocks, one of mass m1= kg and the other of mass m2= kg both on inclined surfaces shown. The angle of the left incline is \theta 1= degrees . And other other angle is \theta 2= degrees . Find the tension, T, in the rope that connects the blocks through the frictionless pulley, and the acceleration, a, of the blocks.

[13]This person wants to accelerate the lawn mower at m/s2 . The lawn mower has a mass of m= kg . The person pushes on the lawn mower at an angle \theta= degrees . With what force, F, should they push, in the direction shown, to do so? There are no other forces acting on the lawn mower, other than F, the person's push.

[14]You are looking at a car coming at you, which is traveling in a circle, on a banked turn, like those found on high speed race tracks. It is a cold winter's day, and the track has a sheet of ice on it, making the surface very slippery, even frictionless.

The turn is banked at an angle \theta= degrees and has a radius of m . What speed must the car travel at to 1) not slide out of the turn (up and to the left)and 2) not slide down into the turn?

[15]A "tug-of-war" has started with an old tire in the center. Three people are pulling, as shown. Person 1, exerts F1= N has shown, straight to the left. Person 2, exerts F2= N , straight down in the figure, and person 3 exerts some force F3, at some angle \theta as shown. With what force (F3), and at what angle (\theta) should person 3 pull so that the tire doesn't move at all? \symbollook{top,20}

[16]A block of mass m= kg originally moving at m/s coasts m on a tabletop before coming to rest. What is the coefficient of friction between the block and the table?

[17]Two blocks are connected by a rope, through a pulley as shown in this figure. The block on the table has mass m1= kg and the hanging block has mass m2= kg . The coefficient of friction between the block and the table is \mu= The pulley is frictionless. Find T, the tension in the connecting rope, and the acceleration of the blocks.

[18]A block of mass m= kg is pushed down an incline plane with speed v0= m/s . The angle of the incline is \theta= degrees , and it has a length of d= m and has a coefficient of friction \mu= . Will the block stop on the incline?

[19]A thin red washer is sitting on a piece of wood. You lift the wood to an angle degrees and suddenly the coin begins to slide down. What is the coefficient of friction between the washer and the wood?

[20]Two blocks are set up as shown here. m1 has a mass of kg . A coefficient of static friction, \mu= exists between m1 and the table it's sitting on. The diagonal rope is tied at an angle \theta= degrees .

What is the maximum mass that m2 may have so that m1 does not slip off of the table?

[21]Skid marks on a road are measured to be m long. If the coefficient of kinetic friction between the tires and road are \mu= , how fast was the car going?

[22]Three blocks are connected with ropes and pulleys as shown here: m1 and m3 hang freely from ropes, and there is coefficient of friction \mu= between the table the m2. The mass of m2 is kg .

For this problem, m1 is more massive than m3. m1= kg and m3= kg .

What is the acceleration of the blocks and the tension in the ropes?

[23]A block of mass M= kg is free to slide on a frictionless surface. Another block, of mass m= kg , is pushed against M with a force F. The contact between m and M has coefficient of friction \mu= , as shown here. What constant force is needed so that m will not slide down and fall off of M?

[24]A block of mass m= kg on an inclined plane is pushed with a horizontal force P as shown here. The coefficient of sliding friction between the block and the surface of the inclined plane of \mu= , and the angle of the incline is \theta= degrees . What should the magnitude of P be, in order for the block to have an acceleration of m/s2 ?