A 2-kg car initially moving at 6 m/s at a height of 4 m encounters a hill of height 5 m, as shown in Figure. At a later point there is a horizontal spring (with a spring constant k=150 N/m) at a height of 2 m. (a) Does the car reach the spring? (Hint: Compare the initial total mechanical energy of the car with its potential energy at hill of height 5 m) (b) If so, what is the maximum compression in the spring? Ignore frictional losses and the rotational energy of the wheels.

Q: A block of mass m 1.5 kg is dropped from height h 78 cm onto a spring of spring constant k = 2190…

A: mass of block (m) = 1.5 kg Height (h) = 78 cm = 0.78 m Spring constant (k) = 2190 Nm

Q: If it requires 6.0J of work to stretch a particular spring by 2.0 cm from its equilibrium length,…

A: Given data: Work done, E=6.0 J Stretch, x1=2.0 cm=0.02 m;  x2=6.0 cm=0.06 m

Q: Suppose a spring (of constant k = 250 N/m) is compressed 10 cm. How much energy is stored in the…

A: The energy stored in the spring is, U=12kx2

Q: We are preparing to project a rubber arrow with a mass of 7.8 g with a toy using a compression…

A: Given: The mass of the arrow is 7.8 g. The spring constant is 3.5x102N/m. The compression in the…

Q: Initially, a spring is stretched 0.50 m from its equilibrium (rest) position. It is then stretched…

A: Given: The spring constant is 10 N/m. The initial stretching is 0.5 m. The final stretching is 0.8…

Q: A spring with a spring constant of 15 N/m is initially compressed by 3.0 cm. How much work is…

A: Given data:  Spring constant (k) = 15 N/m Initial compression (x1) = 3.0 cm = 0.03 m Additional…

Q: A 167.N force is applied to a stiff spring and stretches the spring 7.2.cm. Find the potential…

A: It is given that, F=167 Nx=7.2 cm=0.072 m

Q: - A weight-lifter does 4.4 x 10³ J of work in raising a weight from the floor to a height of 2.0…

A: Given  Work (w) = 4.4 × 103 J  Height (h) = 2 m  (a) let average force is ' F ' .   w = F× h…

Q: A 2-kg ball is held 6 m above the ground. Relative to the ground its potential energy is A) 60 J.…

A: Given data:  Mass (m) = 2 kg Height (h) = 6 m Required: Potential energy relative to the ground

Q: Why do you do no work on a 25-kg backpack when you walk a horizontal distance of 100 mm?

A: When a person is carrying a backpack, the weight of the backpack is in the vertical direction. But…

Q: You attempt to lift a 1200 N barbell for 10 min, excreting a 1200 N force, but won't move. How much…

A: Required : Amount of work done.

Q: While running, a person dissipates about 0.60 J of mechanical energy per step per kilogram of body…

A: The mass of runner,

Q: How much energy can be stored in a spring with a spring constant of 500 N/m if its maximum possible…

A:

Q: he surfer in the photo is catching a wave. Suppose she starts at the top of the wave with a speed of…

A: The initial velocity of the surfer, vi = 2.83 m/s The final velocity of the surfer, vf  = 10.4 m/s…

Q: A student throws a ball upwards from the ground level where gravitational potential energy is zero.…

A: Given  AT Height of h1= 15 m the upward moving ball has a  Potential energy U1 = 60J Kinetic energy…

Q: The elevator with a mass of 200 kg with an input power of 4.5 kW with a constant speed, takes 2…

A: The elevator has a mass of 200 kg. Let M=200 kg. The elevator carries 2 persons, 50 kg each, from…

Q: While running, a person dissipates about 0.60 J of mechanical energy per step per kilogram of body…

A:

Q: a man of mass 50 kg jumps to height of 1m. his potential energy at the highest points is (g=10m/s2)…

A: We know that the potential energy of an object is  given as  P.E = mgh  where m is the mass of an…

Q: constant of 65 N/m is compressed 35.0 cm and used to launch a 0.500 kg ball horizontally off a desk.…

A: Given:- A spring with a spring constant K = 65  N/m  The compressed distance L = 35 cm = 0.35 m  The…

Q: A 0.75-kg block slides on a rough horizontal table top. Just before it hits a horizontal ideal…

A: GivenMass of the block m = 0.75 kgVelocity of the block v =3.5 m/sSpring of constant k = 1200…

Q: A box of canned goods, contents have a total mass of 4.5 kg, is pushed 2 m along the floor by a…

A: The work done is given by  W = F s cos A  where, F is the force, s is the displacement, A is the…

Q: To compress a spring 5.00cm from unstretched length, 12.0 J of work must be done. How much work must…

A: The net force acting on an object is equal to mass times the acceleration of the object. An object…

Q: A force of 30 Newtons is required to maintain a spring stretched from its natural length of 12 cm to…

A: Write a given values of this question. F=30Nl1=12cml2=15cmx1=12cmx2=20cm

Q: A boy is carrying a bucket of water of mass 3810 grams. If he does 16.5 J of work, to what height…

A: Given data:  Mass (m) = 3810 g = 3.810 kg Work done (W) = 16.5 J Required: Height (h)

Q: What is the Potential energy stored in the spring at the time of launch?  Given: Mass of rider along…

A:

Q: 50 kg object was raised to a height and gained a potential energy of 1212 J. What was the height…

A:

Q: A 0.15 kg ball is travelling with an upward velocity of 18 m/s. What is the maximum height it will…

A: Given, the mass of ball=0.15 kg upward velocity=18 m/s Let maximum height reach is h m

Q: If it requires 9.0 JJ of work to stretch a particular spring by 2.0 cmcm from its equilibrium…

A: Write the expression for the work done by the spring.

Q: A student pushes a baseball of m = 0.15kg down onto the top of a vertical spring that has its lower…

A:

Q: A spring with a spring constant k = 852 N/m is compressed from its unstretched length to a length of…

A: The potential energy of the spring is given by 0.5kx^2            where k= spring constant…

Q: In a physics lab experiment, a spring clamped to the table shoots a 20 g ball horizontally. When the…

A: Given that,mass, m=20 grams            m=0.02 kgsy=1.7 mx=4.8 m

Q: How high must a 20 kg box be lifted to give it 784J of potential energy?

A:

Q: A spring has a natural length of 12 cm. A force of 600 dynes compresses the spring to 10 cm. Find…

A: Your answer is option (b). 1350ergs

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Given in question - Force(F)  = 20N                                     Natural length(L) = 2 m…

Q: A box of mass m is pressed against (but is not attached to) an ideal spring of force constan and…

A: given: spring constant = K compressed distance = x velocity just as it moves free to spring = v…

Q: A spring has a constant k = 12 N/m and natural length of 0.5 meters. Find the work required to…

A: Spring constant (k)= 12 Nmnatural length (L) = 0.5 m New length (L') = 1.5 m Final length (L'') = 2…

Q: If it requires 6.0 J of work to stretch a particular spring by 2.0 cm from its equilibrium length,…

A: The work required to stretch a spring can be given by W=12kx2

Q: A crane raises a 200-newton weight to a height of 50 meters in 5 seconds. The crane does work at the…

A:

Q: A 118 lb student climbs stairs with a vertical height of 5.2 m in 5.5 s how much power in watts does…

A:

Q: Name: A person's heart and head are 1.3 m and 1.8 m above the feet, repectively. Determine the…

A:

Q: A 30-kg block is raised vertically 1.5 meters. What is the change in potential energy? Answer in SI…

A: Mass of block (m) = 30 kg height raised (H) = 1.5 m

Q: A spring with a spring constant of 2.0 N/m is compressed by 50 cm. How much work was done on the…

A: Given

Q: A box with a mass of 5.5 kilograms moved a distance of 6m to the right. A tension of 63 Newtons by a…

A:

Q: a cannonball with a mass of 6.95 kg is placed in a vertical, spring-loaded cannon bearing a spring…

A: Mass , m = 6.95 kg Spring constant , k = 5.6 N/m Spring compression , x = 4.54 m To find = maximum…

Q: Why does one get tired when pushing against a stationary wall when no work is done on the wall?

A: Work done can be calculated as the product of the displacement and the force applied.

Q: A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant…

A: