The concepts used in this problem are Newton’s second law of motion and Newton’s equations of motion. Find the acceleration of the block by find the net force on the block. Then find the speed of block using equations of motion.
Newton’s second law of motion:
The Newton’s second law of motion states that “the net force on the system is equal to the product of mass and acceleration of the system.”
The expression of net force is:
Here, is the mass and is the acceleration.
Newton’s equations of motion:
The Newton’s equations of motion are the equations which describes the linear motion of an object. These equations can also be converted to rotational motion.
The equations of motion are:
Here, is the final speed, is the initial speed, is the acceleration, is the distance and is the time.
(a)
The free body diagram of the block is:
Here, is the force of gravity and is the normal force.
(b)
The net vertical force on the block is zero. There is only horizontal force i.e. . So, the net force is:
According to Newton’s second law, the net force on the block is:
Substitute for and for .
(c)
The equation of motion:
Substitute for , for and for .
Ans: Part a
The free body diagram is:
Part b
The acceleration of the block is 2.54 m/s2.
Part cThe speed of the block is 3.19 m/s.
A block slides down a frictionless plane having an inclination of θ = 15.0 degrees. The...
A 9.00-kg block slides down a frictionless plane having an incline of 27.0 The block starts from rest from the top of the incline, and the length of the incline is 2.00 m. Draw a free-body diagram for the block. Determine the normal force acting on the block Answer: Check If the block starts from rest, determine the speed of the block at the bottom of the incline. (Hint: determine the acceleration of the block down the incline, then use...
18.6. The black starts from rest at the top, and the length of the inne is 2,60 m A block slides down a frictionless plane having an inclination of (a) Draw a free-body diagram of the block Chole neile selected This or has not been graded yet (b) Find the acceleration of the block wys down the incine (c) Find its speed when it reaches the bottom of the incline
The block has mass 10.0 kg and lies on a fixed smooth frictionless plane tilted at an angle 25.0 degree to the horizontal. (a) Draw the free body diagram. (b) Find the magnitude of the normal force. (c) Determine the acceleration of the block as it slides down the plane. (d) If the block starts from rest 12.0m up the plane from its base, what will be the block’s speed when it reaches the bottom of the incline? (Explain in...
The length of the A 2 kg block is released from rest at the top of a rough 40° inclined plane incline is 10 m. As the block slides down the incline, its acceleration is 3.0 m/s incline 1s 10 m. incline. Draw the free body diagram. a) Determine the magnitude of the force of friction acting on the bloc b) W hat is the speed of the block when it reaches the bottom of the inclined plane?
A 3.00kg block starts from rest at the top of a 30.0 degree incline and slides a distance of 2.00m down the incline in 1.50s. Find (a)the magnitude of the acceleration of the block, (b) the coefficient of kinetic friction between block and plane, (c) the friction force acting on the block and (d) the speed of the block after it has slid 2.00m.
a 10 kg block slides down a frictionless plane oriented at 30-degrees with respect to the horizontal . A) what is the magnitude of the acceleration of the block down the plane? B) what is the normal force between the block and the plane?
A 3.00-kg block starts from rest at the top of a 30.0 degrees incline and slides a distance of 2.10m down the incline in 1.80 seconds. a) Find the magnitude of the acceleration of the block. (_______ m/s2) b) Find the coefficient of kinetic friction between block and plane. c) Find the friction force acting on the block. Magnitude ____________N Direction: ______________ d) Find the speed of the block after it has slid 2.10m. (___________m/s)
Item 2 Constants Part A A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 7.00 m to the bottom of the incline is 3.80 m/s. What is the speed of the block when it is 3.00 m from the top of the incline? Express your answer with the appropriate units. U- 1 Value Units Submit Request Answer
The carton shown in the figure below lies on a plane tilted at an angle θ = 28.5° to the horizontal, with μk = 0.12 (a) Determine the acceleration of the carton as it slides down the plane. 4.66 (b) If the carton starts from rest 8.90 m up the plane from its base, what will be the carton's speed when it reaches the bottom of the incline? 13.18 x m/s2 (down the plane) X m/s
a) what was the acceleration of the block down the ramp before the rope is pulled? b) what was the acceleration of the block down the ramp after the rope is pulled? A4 kg block is released from rest at the top of a frictionless plane of length 9m that is inclined at an angle of 21 degrees to the horizontal Acord is attached to the block and trails along behind it. When the block reaches a point 3 m...