Question

In: Physics

A basket full of apples weighing 40.0 N (the force of gravity) rests on a horizontal...

A basket full of apples weighing 40.0 N (the force of gravity) rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.40 and the coefficient of kinetic friction is 0.20.

A: If no horizontal force is applied to the basket and the basket is at rest, how large is the friction force exerted on the box?

B: A farmer applies a horizontal force of 6.0 N to the basket when the basket is initially at rest. What is the magnitude of the friction force on the basket?

C: What is the smallest horizontal force that will start the basket in motion if it is originally at rest?

D: What is the smallest horizontal force the farmer must apply to keep the basket moving at constant velocity once it has started to move?

E: If the farmer exerts a horizontal force of 18.0 Non the basket, what is the magnitude of the friction force ?

F: If the farmer applies a horizontal force of 18.0 N, what is the basket's acceleration?

Expert Solution

A) Since no horizontal force is applied to the basket, the basket is already in Equilibrium in that direction.The friction force acting on it will be zero.

B) Since 6 N horizontal force is applied to the basket, the friction force tries to counter it. The maximum static friction force is given by: . As 6 N < 16 N, the static friction force can balance it.

The friction force acting on the basket is 6 N.

C) The smallest horizontal force to move the basket is equal to the maximum static friction force which opposes the movement. Thus, the smallest horizontal force to move the basket is 16 N.

D) Once the basket is moving, kinetic friction force oposes its motion which is given by:

Thus, the farmer must apply minimum of 8 N to keep the basket moving.

E) 18 N is greater than the maximum static friction force acting on the basket which is 16 N. Thus, the basket moves and the friction force acting on it is equal to the kinetic friction force which is 8 N.

F) Using Newton's second law in the horizontal direction,

The basket's acceleration is 2.4525 m/s².

genius_generous answered 2 years ago

A block weighing 82.5 N rests on a plane inclined at 28.8° to the horizontal. The...

A block weighing 82.5 N rests on a plane inclined at 28.8° to the horizontal. The coefficient of the static and kinetic frictions are 0.25 and 0.12 respectively. What is the minimum magnitude of the force F, parallel to the plane, that will prevent the block from slipping? What is the minimum magnitude of F that will start the block moving up the plane? What is the magnitude of F is required to move the block up the plane at...

A book weighing 5 N rests on top of a table. Part A A downward force...

A book weighing 5 N rests on top of a table. Part A A downward force of magnitude 5 N is exerted on the book by the force of the table gravity inertia Part B An upward force of magnitude _____ is exerted on the _____ by the table. 6N/table 5N/table 5N/book 6N/book Part C Do the downward force in Part A and the upward force in Part B constitute a 3rd law pair? yes no Part D The reaction...

a)An object of mass ?m rests on a horizontal frictionless surface. A constant horizontal force of...

a)An object of mass ?m rests on a horizontal frictionless surface. A constant horizontal force of magnitude ?F is applied to the object. This force produces an acceleration: always only if ?F is larger than the weight of the object only while the object suddenly changes from rest to motion only if ?F is increasing choice A b)Now let there be friction between the surface and the object. If the object has a mass of 10 kg, and ??μs =...

A loaded penguin sled weighing 73.0 N rests on a plane inclined at angle θ =...

A loaded penguin sled weighing 73.0 N rests on a plane inclined at angle θ = 21.0° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.230, and the coefficient of kinetic friction is 0.160. (a) What is the minimum magnitude of the force , parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled...

A force of 9 N stretches a spring 1 m. A mass weighing 1.96 N is...

A force of 9 N stretches a spring 1 m. A mass weighing 1.96 N is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.2 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 m above the equilibrium position. x(t) = m (b) Express the equation of motion in the form x(t) = Ae−λt...

A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes...

A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude Ndirection ---Select--- towards the wall away from the wall vertical force magnitude Ndirection ---Select--- up down (b) If the ladder is just on the...

A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes...

A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude N direction vertical force magnitude N direction (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m...

3. An 8 kg stone rests on a vertical spring of force constant 785 N /...

3. An 8 kg stone rests on a vertical spring of force constant 785 N / m. The stone is pushed down about 30 cm and released. (a) Obtain the elastic potential energy of the compressed spring just before releasing it (b) Obtain the maximum height reached by the stone (c) Obtain the velocity just after it leaves the spring.

A 70.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with...

A 70.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with an amplitude of 7.00 cm on a frictionless, horizontal surface. (a) Find the total energy of the system. mJ (b) Find the speed of the object when its position is 1.10 cm. (Let 0 cm be the position of equilibrium.) m/s (c) Find the kinetic energy when its position is 3.50cm. mJ (d) Find the potential energy when its position is 3.50cm.

A 35.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with...

A 35.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with an amplitude of 6.00 cm on a frictionless, horizontal surface. (a) Find the total energy of the system. mJ (b) Find the speed of the object when its position is 1.15 cm. (Let 0 cm be the position of equilibrium.) m/s (c) Find the kinetic energy when its position is 2.50 cm. mJ (d) Find the potential energy when its position is 2.50 cm....