A 2000-kg automobile is driven down an incline. Then the brakes are applied, causing a constant total braking force (applied by the road on tires) of 7 kN. The work done by the weight is _kN·m, when the automobile has a displacement of s=6m. (Express the answer to three significant figures and g-9.81m/s²) 5°
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- A cord is used to vertically lower an initially stationary block of mass M = 8.5 kg at a constant downward acceleration of g/9. When the block has fallen a distance d = 4.9 m, find (a) the work done by the cord's force on the block, (b) the work done by the gravitational force on the block, (c) the kinetic energy of the block, and (d) the speed of the block. (Note : Take the downward direction positive)A 66.1-kg skier coasts up a snow-covered hill that makes an angle of 29.8 ° with the horizontal. The initial speed of the skier is 8.59 m/s. After coasting a distance of 2.13 m up the slope, the speed of the skier is 4.95 m/s. (a) Find the work done by the kinetic frictional force that acts on the skis. (b) What is the magnitude of the kinetic frictional force?A cable exerts a constant upward tension of magnitude 2.26 ✕ 104 N on a 2.00 ✕ 103 kg elevator as it rises through a vertical distance of 3.10 m. Find the work done by the force of gravity on the elevator (in J).
- It takes 1700 J of work to stretch a spring from its natural length of 1 m to a length of 5 m. Find the force constant of the spring. The spring's force constant is N/m. (Type an integer or a simplified fraction.)A large cruise ship of mass 7.00 ✕ 107 kg has a speed of 12.2 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 3.00 km? NA 40.5 kg box initially at rest is pushed 4.40 m along a rough, horizontal floor with a constant applied horizontal force of 125 N. If the coefficient of friction between box and floor is 0.300, find the following. (d) the work done by the gravitational force J(e) the change in kinetic energy of the box J(f) the final speed of the box m/s
- A block of mass m=1.5kg is released from rest at an unknown height h. The coefficient of friction between the block and the incline oriented at an angle of 0=56° is Hk=0.21. If the speed of the block v=4.1m/s when it leaves the inclined plane, determine the work done by the force of gravity. Take g =9.81m/s? and express your final result using one decimal place. m mProblem 4. A box of mass m = 2.0 kg is at rest at point B on a rough inclined plane with length s = 8.0 m (distance between A and B), and which makes an angle of 30° with the horizontal. The velocity of the box at point A is 2.5 m/s. (a) What is the work done by gravity between the top (B) and the bottom (A) of inclined plane? (b) Find the work done by the net force on the box. (c) Find the increase in thermal energy in the box-incline system as a result of friction. 30°A large cruise ship of mass 6.00 ✕ 107 kg has a speed of 12.4 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 3.40 km? N
- A cord is used to vertically lower an initially stationary block of mass M = 4.9 kg at a constant downward acceleration of g/7. When the block has fallen a distance d = 2.4 m, find (a) the work done by the cord's force on the block, (b) the work done by the gravitational force on the block, (c) the kinetic energy of the block, and (d) the speed of the block. (Note : Take the downward direction positive) (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsThe force required to compress a non-standard spring as a function of displacement is given by the equationF(x) = -Asin(bx) + kx,where A = 11 N, b = 11 rad/m, and k = 78 N/m. Part (b) Calculate the work done in joules as the spring is compressed from x = 0 to x1 = 32 cm. Part (c) Calculate the work done in joules as the spring is compressed from x1 = 32 cm to x2 = 69 cmA cable exerts a constant upward tension of magnitude 2.26 ✕ 104 N on a 2.00 ✕ 103 kg elevator as it rises through a vertical distance of 4.30 m. Find the work done by the tension force on the elevator (in J). Find the work done by the force of gravity on the elevator (in J).