An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 5.7× 104 kg, and the force causes its speed to change from 6500 to 5200m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.3x 106 m determine the magnitude of the force. (a) Work= (b) F= i i
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- A hockey puck of mass 0.26 kg is sliding along a slippery frozen lake, with an initial speed of 64 m/s. The coefficient of friction between the ice and the puck is eventually causes the puck to slide to a stop. Find the work done by friction. J = 0.031. FrictionTo compress a spring 5.0 cm from its unstretched length, 18.0 J of work must be done. (a) What is the magnitude of the force needed to stretch it to 7.5 cm? (b) How much work must be done in stretching this spring 7.5 cm from its unstretched length?A child on a sled is initially at rest on an icy horizontal surface. The sled is pushed until it reaches a final velocity of 6.05 m/s in a distance of 15.6 m. The coefficient of friction between the ice and runners of the sled is 0.200, and the weight of the child and the sled is 375 N. Find the work done by the force pushing the sled.
- A force given by (6i – 3j) N acts on an object experiencing a displacement given by (3i – j) m. Determine the work done by the force.Starting from rest, a 4.70-kg block slides 3.40 m down a rough 30.0° incline. The coefficient of kinetic friction between the block and the incline is = 0.436. (a) Determine the work done by the force of gravity. (b) Determine the work done by the friction force between block and incline. (c) Determine the work done by the normal force. (d) Qualitatively, how would the answers change if a shorter ramp at a steeper angle were used to span the same vertical height?Starting from rest, a 5.50-kg block slides 2.30 m down a rough 30.0° incline. The coefficient of kinetic friction between the block and the incline is k (a) Determine the work done by the force of gravity. J (b) Determine the work done by the friction force between block and incline. J (c) Determine the work done by the normal force. (d) Qualitatively, how would the answers change if a shorter ramp at a steeper angle were used to span the same vertical height? 0.436.
- A large cruise ship of mass 6.70 ✕ 107 kg has a speed of 10.6 m/s at some instant. (a) What is the ship's kinetic energy at this time? J(b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J(c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 2.20 km? NA block of mass 15.0 kg is pulled up from rest on a rough incline. The pulling force F =100.0 N that makes a 5.00° angle with the incline and the incline itself makes an angle of 10.0° with the horizontal. The coefficient of kinetic friction is 0.300, and the block is pulled 3.00 m on the incline. (a) How much work is done by the gravitational force on the block? (b) How much work is done by the 100.0-N force on the block? (c) How much work is done by the normal force? (d) Calculate work done by the friction force on the block. (e) What is the speed of the block after being pulled 3.00 m? F 5° 10°Two forces F1 = (-1.5i-0.8j+0.7k) N and F2 = (-0.7i+1.2j) N, are applied to a moving object. what is the net force on the object? if the displacement vectoris d= (8.0i+6.0j+5.0k) m, what is the work done by these two forces?
- A 4.5-kg block slides down a frictionless incline making an angle of 55.0° with the horizontal. (a) What is the total work done on the block when the block slides 1.4 m (measured along the incline)? (b) What is the speed of the block after it has slid 1.2 m if it starts from rest? m/s (c) What is its speed after 1.2 m if it starts with an initial speed of 1.6 m/s? m/s You can use the definition of work as the scalar product of a constant force and displacement to find the work done by each force acting on the block. Then use the work- kinetic energy theorem the find the speed of the block at any given location and for any initial kinetic energy it may have.An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 5.3x 104 kg, and the force causes its speed to change from 6900 to 5500m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.3x 10 m determine the magnitude of the force. (a) Work- (b) F- iA rope is tied to a box and used to pull the box 1.5 m along a horizontal floor. The rope makes an angle of 30° with the horizontal and has a tension of 5 N. The opposing friction force between the box and the floor is 1 N. How much work does each of the following forces do on the box: (a) gravity, (b) the tension in the rope, (c) friction, and (d) the normal force? What is the total work done on the box?