A 1200-kg car is being driven up a 5 degree hill. The frictional force has a magnitude of 524 N. A force F is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: it's weight W and the normal force N directed perpendicilar to the road surface. The length of the road up the hill is 290 m. Calculate the magnitude of F so that the net work done by all the forces acting on the car is 1150 kJ.

Q: A 2 kg object is released from rest at the top of a frictionless incline of an 39.1 angle. Given the…

A:

Q: You get a running start, pushing a box of mass 21.6 kg up to a ramp of grade (slope) 0.54 and…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A 280 g block slides down an incline plane of inclination angle 14 degrees with a constant speed.…

A: Given a 280 g (m) block slides down an incline plane of inclination angle 14 degrees(θ) with a…

Q: A spring having force constant 99 N/m hangs vertically. A block of mass 1 kg is attached to the…

A: Given data:  Force constant (k) = 99 N/m Mass (m) = 1 kg Required: The stretch in the spring (x)

Q: A block on a frictionless horizontal surface is attached to a cable and a spring that is stretched…

A: Given data, Stretched in the spring = 0.17 m Tension in the cable = 48 N Normal force on the block =…

Q: A sled starts up a 2727 degree incline with a speed of 3.13.1 m/s. The coefficient of kinetic…

A:

Q: A pendulum has a length l (the rope is massless). The mass of the object suspended from the pendulum…

A: Given mass m  Length L Initial position θ=90⁰ We need to find speed at lowest point where θ=0⁰

Q: A cyclist coasts up a 11.1° slope, traveling 23.0 m along the road to the top of the hill. If the…

A: Data Given ,  Cyclist's initial speed ( V0 ) = 9.50 m/s Distance travels along the road to the top…

Q: A 1320-kg car is being driven up a 9.80 ° hill. The frictional force is directed opposite to the…

A:

Q: Suppose a girl gets a 0.25 m length of string where she attaches one end to the ceiling and the…

A:

Q: A block is projected up a frictionless inclined plane with initial speed vo = 1.54 m/s. The angle of…

A:

Q: The spring has a constant of 30 N/m and the frictional surface is 0.2 m long with a coefficient of…

A:

Q: A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x0. The…

A:

Q: A cyclist coasts up a 12.1° slope, traveling 16.0 m along the road to the top of the hill. If the…

A:

Q: How much would be the spring have stretched, in cm

A: Given: Mass of object 1 is m1=453 g When object 1 is attached to lower end of spring, then extension…

Q: A 1500-kg car is being driven up a 6.68 ° hill. The frictional force is directed opposite to the…

A:

Q: A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal.…

A: See below

Q: An object starts from rest at the origin and moves along the x axis subject to the force shown in…

A: Mass of object M=37 kg Spacing along x is 2m. Spacing along F is 3N.

Q: The force required to slowly stretch a spring varies from 0 n to 296 N as the spring is extended by…

A:

Q: A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.875 m/s encounters a rough horizontal…

A:

Q: When a 3.5 kg block is pushed against a massless spring of force constant 4.5 x 103 N/m, the spring…

A: When a free point 5 kg block is pushed against a massless spring of force constant 4.5 *103 N/m the…

Q: A student exerts a force of 48.0 N to compress a spring 5.50 cm. The force constant for the spring…

A: Given data:  Force (F) = 48.0 N Comparison in spring (x) = 5.50 cm Required: Force constant (k) for…

Q: A spring hangs down from a ceiling a distance of 7 cm. When a mass of 171 grams is attached, the…

A:

Q: A mass of 7.0 kg hangs from a spring attached to the ceiling. The spring has a spring constant of…

A: Spring force is given asF=k∆xK=spring constant∆x = stretches in spring

Q: A 1510-kg car is being driven up a 7.00° hill. The frictional force is directed opposite to the…

A:

Q: When the load L is 8.7 m from point C, the tension T in the cable has a magnitude of 8.2 kN. Express…

A: Given,a = 8.7 mb = 3 mc = 7.3 mwe know,tanθ=opposite sideadjacent sideθ=tan-1opposite sideadjacent…

Q: A 1460-kg car is being driven up a 6.35 ° hill. The frictional force is directed opposite to the…

A:

Q: A 25.0 cm long spring is hung vertically from a ceiling and stretches to 32.5 cm when a 7.00 kg mass…

A: GIVEN        Length of the spring = L = 25 cm = 0.25 m        Mass hung from the free end of the…

Q: 1420-kg car is being driven up a 7.26 ° hill. The frictional force is directed opposite to the…

A:

Q: A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a…

A:

Q: the work done

A:

Q: How fast will the wagon accelerate

A: Here we use Newtonian equation of motion.

Q: A mass is an initial speed of v down a ramp inclined at an angle of θ to the horizontal. The…

A: We are given initial speed. We draw free body diagram of the mass. We then  find acceleration of…

Q: A block of mass m = 1 kg is carefully placed at the top of an inclined plane so that it does not…

A: Mass of the block m=1 kg The angle of inclination θ=30° Coefficient of kinetic friction/static…

Q: Let's consider the system given in Figure 2. The end of a flexible spring with spring constant k is…

A: We are given the spring constant. We are given the mass and inclination of the incline. We first…

Q: A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The…

A:

Q: A 2 kg Box slides down an inclined plane. It has an incline of 1.09956 radians and coefficient of…

A: The solution for this question has been given below...

Q: Find the magnitude and direction of the net force on the crate while it is on the rough surface.

A:

Q: A 1470-kg car is being driven up a 5.76 ° hill. The frictional force is directed opposite to the…

A:

Q: A 1100-kg car is being driven up a 8.91 ° hill. The frictional force is directed opposite to the…

A:

Q: Problem 2: The force F = (3.43 N)i + (4.66 N)j acts on a particle as it moves first along the x axis…

A: Given data: Force F→ =3.43 Ni^ + 4.66 Nj→ Initial position x1 = 1.59 m, y1 = 1.18 m Final position…

Q: A block with mass m is placed on the top of a smooth cline. The cline is h=4.7m high. The block is…

A: According to work-energy theorem :- work done by all the forces is equal to change in kinetic…

Q: A 2 kg ball rolls off a 26 m high cliff, and lands 28 m from the base of the cliff. Express the…

A:

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.