The concepts required to solve this problem are Newton’s second law and kinematics equation of motion.
Initially, Draw the free body diagram from given data. Then find the acceleration of block of ice on inclined plane by using Newton’s second law of motion. Finally, calculate the final speed of block by using kinematic equation.
The Newton’s second law states that the net force on an object is the product of mass of the object and final acceleration of the object. The expression of newton’s second law is,
Here, is the sum of all the forces on the object, is mass of the object, and is the acceleration of the object.
The kinematics equation of motion is,
Here, is the distance travelled by the object, is the initial velocity, is the final velocity, and is the acceleration.
Draw the following free body diagram of block from given data:
Here, m is mass of block, g is acceleration due to gravity, N is normal force on the block, and is angle made by incline with horizontal.
The acceleration a of the block on the incline plane is equal to
Use the following equation of kinematics to find the final speed of block.
Here, is final speed, is initial speed, a is acceleration, and d is distance.
Substitute for in the above equation and solve for final speed .
Substitute for , for , for , and for in the equation and calculate .
Ans:
The final speed of the block of ice is .
A block of ice with mass 2.00 kg slides 0.750 m down an inclined plane that...
A block of ice with mass 2.00 kg slides 1.77 m down an inclined plane that slopes downward at an angle of 36.9° below the horizontal. Part A If the block of ice starts from rest, what is its final speed? Ignore friction. Express your answer with the appropriate units. v = Value Units Submit Request Answer
A block of ice with mass 2.00 kg slides 0.830 m down an inclined plane that slopes downward at an angle of 31.0 ∘ below the horizontal. If the block of ice starts from rest, what is its final speed? You can ignore friction.
A block of ice with mass 2.00 kg slides 0.63 m down an inclined plane that slopes downward at an angle of 37.8∘ below the horizontal. A) If the block of ice starts from rest, what is its final speed? You can ignore friction.
I need help with this question 5, A block with mass 2.00 kg slides 0.750 m down an inclined plane that slopes downward at an angle θ = 370 below the horizontal. block. b) If the kinetic friction coefficient H.-075, what is the acceleration of the block? a) lIf the block starts from rest, what is its final speed? Assume no friction acts on the
A block of mass 4.4 kg slides 18 m from rest down an inclined plane making an angle of 22 o with the horizontal. If the block takes 10 s to slide down the plane, what is the retarding force due to friction?
A block of ice of mass 30 kg is at rest atop an inclined plane of vertical height 2 m. It is released and slides down the inclined plane. What is its speed at the bottom of the inclined plane? explain please
A 4.5-kg block slides down an inclined plane that makes an angle of 28° with the horizontal. Starting from rest, the block slides a distance of 2.4 m in 5.2 s. Find the coefficient of kinetic friction between the block and plane.
A 1 kg block slides down an inclined plane which makes an angle of 30degree to the horizontal. Starting from rest, it is found to have a speed of 3 m/s after it has moved through a distance of 1.6 m. Find the amount of mechanical energy dissipated due to friction as the block slides down the plane, and hence find the coefficient of friction between the block and the plane, Explain your steps and reasoning. Remember to draw a...
A 2 kg block is sliding down a plane inclined at 30˚ to the horizontal. The coefficient of friction between the block and the plane is 0.25. How much work is done by gravity if the block slides 5 m? How much work is done by friction? If the block starts from rest, what is its speed after sliding the 5 m?
Problem 1 (10 points) Block A, with weight 3w, slides down an inclined plane S of slope angle 36.9 at a constant speed while plank B, with weight w, rests on top of A. The plank is attached by a cord to the wall as shown below. (a) Draw a free body diagram for block A. (b) Draw a free body diagram for plank B. (c) If the coefficient of kinetic friction is the same between A and B and...