A crate on a motorized cart starts from rest and moves with a constant eastward acceleration of a = 2.20 m/s^2. A worker assists the cart by pushing on the crate with a force that is eastward and has magnitude that depends on time according to F(t)=(5.40N/s)t.  a) What is the instantaneous power supplied by this force at t = 5.00 s? (Appropriate Units)

A cyclist is riding a bike at 6.50 m/s on a horizontal track. The cyclist and their bike have a combined mass of 98 kg. How much work will be required for the cyclist to increase their speed to 10.0 m/s? Give your answer to the nearest Joule. Do not include units in your answer.

Two blocks are connected by a very light string passing over a massless and frictionless pulley (Figure 1). Traveling at constant speed, the 20.0 N block moves 95.0 cm to the right and the 12.0 N block moves 95.0 cm downward. Figure 20.0 N 1 of 1 12.0 N Part A During this process, how much work is done on the 12.0 N block by gravity? Express your answer with the appropriate units. Ww, 12.0 N = Submit Part B Value WT, 12.0 N = Request Answer During this process, how much work is done on the 12.0 N block by the tension in the string? Express your answer with the appropriate units. Value Units Submit Request Answer ? Units ?

i need help with these two questions!

A 2.0 kg object moves along the x-axis, from x = 0.0 m to x = 30. m, subject to a single force F, which is also directed along the same axis; the graph below shows Fas a function of x. If the velocity of the object is 2.0 m/s at x = 0.0 m, its kinetic energy at x = 30. m is (Enter your answer in units of J. Only enter the number using 2 significant figures.)

A 5.80-kg block is set into motion up an inclined plane with an initial speed of v₁ = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = to the horizontal. V. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?

A 3.35-kg particle is subject to a net force that varies with position as shown in the figure. The particle starts from rest at x = 0. F. (N) 3 2 1 0 I 2 4 6 8 10 12 14 16 What is its speed at the following positions? (a) x = 5.00 m (b) x = 10.0 m (c) x = 15.0 m Submit Answer m/s m/s m/s Need Help? Read It Watch It x (m)

As shown in the figure below, three blocks with masses m₁ = 4.8 kg, m2 = 14 kg, and m3 = 18 kg, respectively, are attached by strings over frictionless pulleys. 1711 m2 ms The horizontal surface exerts a 32 N force of friction on m2. If the system is released from rest, use energy concepts to find the speed (in m/s) of m3 after it moves down 3.0 m. m/s

The speed of a block moving on a horizontal frictional surface changes from vi = 15 m/s to vf = 12.5 m/s in a distance of d = 9.5 m. How long in seconds did it take for the block to slow by this amount, assuming the acceleration is constant? If the block has a mass of 1 kg, What is the power supplied to the block by friction? What is the coefficient of kinetic friction between the block and surface μk?

A 7.5 kg box initially at rest on a horizontal surface is pushed by a constant force of 34.2 N that is applied at angle 35.6° below the horizontal. As the box accelerates along the surface, it encounters a frictional force of 16.6 N. Using work-energy theorem, what is the speed of the box after it has traveled 4.75 m? vf V₁ = 0 d- 5.93 m/s 4.72 m/s 7.50 m/s 3.77 m/s m