Question

In: Physics

(a) A 2 kg object is at the base of a 35° incline, initially at rest,...

(a) A 2 kg object is at the base of a 35° incline, initially at rest, and sits on top of a spring (k = 240 N/m) which is parallel to the inline. The spring is compressed 0.40 m from its equilibrium position and then released, propelling the object up the incline. While the object slides it experiences a frictional force of 2.00 N. Diagram this situation below. Remember to include coordinate axes.

(b) Apply conservation of energy to determine the speed of the object at the moment the spring reaches equilibrium. Explain all terms. If any terms equal zero explain why.

(c) Apply conservation of energy to determine how far up the incline the object will reach (above the spring’s equilibrium position). Explain all terms. If any terms equal zero explain why.

(d) Apply conservation of energy to determine how much the spring will compress in stopping the object as it slides back down the incline. Explain all terms. If any terms equal zero explain why.

Solutions

Expert Solution

In part C max height that mass M reach from equilibrium is 1.05m and from compressed state it is 1.45m.

Mainly you have to conserve energy and focus on energy loss due to friction. And final compression is approx (0.325m - 0.335m). I got nearly 0.325 ,may be your value get slightly differ from mine but it should in range that I have provided.


Related Solutions

an object m = 3.05kg rolls from rest down an incline plane, its center initially at...
an object m = 3.05kg rolls from rest down an incline plane, its center initially at a height of 7.55m above the bottom of the ramp. The inclination of the incline as measured from the horizontal is 37.3o. If the object is a solid uniform cylinder of radius r = 1.25m, then at the bottom of the incline, what is the (a) rotational kinetic energy and (b) the angular momentum. If the object is a hoop of radius, r =...
A ball with a mass of 0.615 kg is initially at rest. It is struck by...
A ball with a mass of 0.615 kg is initially at rest. It is struck by a second ball having a mass of 0.380 kg , initially moving with a velocity of 0.260 m/s toward the right along the x axis. After the collision, the 0.380 kg ball has a velocity of 0.230 m/s at an angle of 37.4 ∘ above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. What is the magnitude...
A 0.6-kg brick is thrown into a 25-kg wagon which is initially at rest
A 0.6-kg brick is thrown into a 25-kg wagon which is initially at rest. If, upon entering, the brick has a velocity of 10 m/s as shown, determine the final velocity of the wagon.  
(c7p50) A 1000- kg car collides with a 1300- kg car that was initially at rest...
(c7p50) A 1000- kg car collides with a 1300- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 25.0 km/h in a direction of 25 o with respect to the positive x axis. The heavier car moves at 28 km/h at -50 o with respect to the positive x axis. What was the initial speed of the lighter car (in km/h)? Also, What was the initial...
A 0.414 kg object is at rest at the origin of a coordinate system. A 3.17...
A 0.414 kg object is at rest at the origin of a coordinate system. A 3.17 N force in the positive x direction acts on the object for 2.98 s. What is the velocity at the end of this interval? b. At the end of this interval, a constant force of 4.04 N is applied in the negative x direction for 4.17 s. What is the velocity at the end of the 4.17 s?
An object of mass 2 kg is released from rest from a platform 30 m above...
An object of mass 2 kg is released from rest from a platform 30 m above the water and allowed to fall under the influence of gravity. After the object strikes the water, it begins to sink with gravity pulling down and a buoyancy force pushing up. Assume that the force due to gravity (g = 9.81 m/s2) is constant, no change in momentum occurs on impact with the water, the buoyancy force is 1/2 the weight (weight=mg), and the...
A block of mass m1 = 1 kg is initially at rest at the top of...
A block of mass m1 = 1 kg is initially at rest at the top of an h1 = 1 meter high ramp, see Fig. 2 below. It slides down the frictionless ramp and collides elastically with a block of unknown mass m2, which is initially at rest. After colliding with m2, mass m1 recoils and achieves a maximum height of only h2 = 0.33 m going back up the frictionless ramp. (HINT: Solving each part in sequence will guide...
A 35.0-kg crate is initially at rest at the top of a ramp that is inclined...
A 35.0-kg crate is initially at rest at the top of a ramp that is inclined at an angle θ = 30◦ above the horizontal. You release the crate and it slides 1.25 m down the ramp before it hits a spring attached to the bottom of the ramp. The coefficient of kinetic friction between the crate and the ramp is 0.500 and the constant of the spring is k = 6000 N/m. What is the net impulse exerted on...
Ball Collision. A ball with a mass of 0.600 kg is initially at rest. It is...
Ball Collision. A ball with a mass of 0.600 kg is initially at rest. It is struck by a second ball having a mass of 0.400 kg, initially moving with a velocity of 0.250 m/s toward the right along the x-axis. After the collision, the 0.400 kg ball has a velocity of 0.200 m/s at an angle of 36.9° above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. Find the magnitude of the...
A 25.0-kg crate is initially at rest at the top of a ramp that is inclined...
A 25.0-kg crate is initially at rest at the top of a ramp that is inclined at an angle θ = 30.0 ◦ above the horizontal. You release the crate and it slides 1.25 m down the ramp before it hits a spring attached to the bottom of the ramp. The coefficient of kinetic friction between the crate and the ramp is 0.400 and the constant of the spring is k = 5000 N/m. How far does the crate compress...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT