Problem 7: A block of mass m = 3.5 kg is attached to a spring with spring constant k = 850 N/m. It is initially at rest on an inclined plane that is at an angle of 8 = 290 with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μ = 0.19. In the initial position, where the spring is compressed by a distance of d = 0.13 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero.

Q: A block of mass m = 3.98 kg is attached to a spring, which F (N) is resting on a horizontal…

A: Mass of the block is 3.98kg

Q: A mass of 2kg is attached to a spring of spring constant 50N/m. The block is pulled to a distance of…

A: The angular frequency of the motion is

Q: A relaxed spring of length 0.15m stands vertically on the floor; its stiffness is 100ON/m. You…

A: Given data: Length l=0.15m Stiffness constant k =1000N/m Mass of the block m =0.4 kg Height h =0.8m

Q: A 2 kg-block (ml) is moving on a frictionless flat table with a 10 m/s speed. The other block, with…

A: Due to the spring attached at the back of the second block, the collision will not elastic but…

Q: A light spring with force constant 3.10 N/m is compressed by 7.80 cm as it is held between a…

A: Mass of left block=m1=0.4 kg  Mass of right block=m2=0.8kg Let acceleration of m1=a1 m/s^2  and…

Q: If a 1.60 kg book is played on top of a spring, what is the maximum distance of compression? K=…

A: The work done by force of gravity is elastically stored energy in the spring.

Q: When a 3.80 kg object is placed on top of a vertical spring, the spring compresses a distance of…

A: Given:- mass of object =3.80 kg  the compressive distance of the spring (x)= 3.01 cm = 0.0301 meter…

Q: A spring scale hung from the ceiling stretches by 6.4 cm when a 1.0 kg mass is hung from it. The 1.0…

A:

Q: 2. The 10 kg block A is released from rest and slides down the smooth plane. Detemine the…

A: SOlution: as given k = 5 kN/m = 5000 N/m angle = 30 degree

Q: A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm…

A: Given,  Spring constant, k = 200 N/m  Displacement = +6cm  Time needed to reach + 6cm is 0.4 s so…

Q: A spring with 1 kg mass was initially attached in the ceiling and undeformed. The mass was released…

A:

Q: When you compress a string with k=12nN/m by 5.8 cm, what is the magnitudeof the force you exert on…

A: Let F denotes the force exerted on the spring, k denotes the spring constant, and x denotes the…

Q: A vertical spring with a spring constant of 360 N/m is mounted on the floor. From directly above the…

A: Spring constant (k) = 360 N/m Mass of block (m) = 0.30 kg Compression in the spring (y) = 3 cm =…

Q: shown in figure. Assuming a force of kinetic friction acts between the block and the surface, with…

A:

Q: A 69 kg man is attached to two of bungee cord in SERIES with spring constant for bungee cord A and B…

A:

Q: A spring-loaded Nerf gun can shoot a foam bullet 13.0 m straight up into the air when the spring is…

A:

Q: An energy-absorbing car bumper has a spring stiffness constant of 540 kN/m Find the maximum…

A:

Q: A box sliding on a frictionless flat surface runs into a fixed spring, which compresses a distance r…

A:

Q: With the same information, find the speed of the block when it reaches the spring

A: Given :  x = 2.33 cm = 0.0233 m F = 555 N m = 3.18 kg θ = 32° x' = 5.48 cm = 0.0548 m g = 10 m/s2 d…

Q: A .20 kg ball is attached to a vertical spring. The spring constant is 28N/m. the ball supported…

A:

Q: A mass of 300 g is attached to a spring on a horizontal, frictionless table. It is pulled out to the…

A:

Q: A 1.20 kg piece of cheese is placed on a vertical spring of negligible mass and force constant k =…

A: Given data: The mass of cheese, m = 1.20 kg The mass of the spring, ms = 0 The force constant of…

Q: A block of mass m = 2.(K) kg is attached to a spring of force constant k = 500 N/m as shown in…

A: Given:- A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m  The block…

Q: 8. A vertically mounted spring (k = 800 N/m) is compressed by 21.0 cm relative to its unstrained…

A:

Q: • If the spring shown is pulled by 400N force. The stretch (s) of the spring will be: lo k=200N/m…

A:

Q: A block with a mass of 500g is pushed along a table to give It an initial speed of 3,00 m/s. It…

A: mass of block= 500g initial speed of block, v= 3.00 m/s coefficient of kinetic friction = 0.16 s =…

Q: I'm trying to find the block's velocity once it leaves the spring. A block of mass, 1.8 kg is…

A: given: mass of block m = 1.8 kg spring constant k = 10,000 N/cm =106 N/m compression in spring…

Q: A light spring with force constant 3.85 N/m is compressed by 8.00 cm as it is held between a…

A:

Q: An orthodontic spring, connected between the upper and lower jaws, is adjusted to provide no force…

A:

Q: An ideal spring can compress 2.33 cm by a force of 555 N, a block of mass m = 3.18 kg is released…

A: Given data: The compression in the spring is x=2.33 cm. The force on the spring is F=555 N. The…

Q: Find the maximum force exerted on it by the spring.

A: mass=0.95 kg displacement of the air cart from equilibrium is…

Q: A 50 g mass on the end of a horizontal spring( k=80 N/m) is moving at a speed of 2m/s when 3.4cm…

A:

Q: A 2.40-kg block is dropped onto a spring and platform of negligible mass. the block is released a…

A: Spring constant is, 12kx2=mgh+xk=2mgh+xx2=22.40 kg9.8 m/s25.00 m+0.250 m0.250 m2=3951.36 N/m

Q: co it. Removing the 1 kg mass and replacing it with a 0.50 kg mass then releasing the spring, how…

A:

Q: A 0.40-kg object is attached to a spring with force constant 160 N/m so that the object is allowed…

A: Given data:  Mass (m) = 0.40 kg Force constant (k) = 160 N/m Comparison in spring (x) = 0.15 m…

Q: 2. When the system is initially at rest, the spring is unstretched and k = 10 lb/ft. Find the…

A: Conservation of energy equation: K1+U1=K2+U2

Q: A 2.00­kg block is pushed against a spring with negligible mass and force constant k = 435 N/m ,…

A:

Q: The magnitude of the force required to compress an imperfect horizontal spring a distance x is giv…

A: Given data as per questionFbs=k x+bx3k=120 N/mb=18 N/m3m=3.5 kgx=2.2 m

Q: 1. A block of mass 4 kg initially at rest is droped form a height of 2m into a vertical spring force…

A:

Q: A light spring with force constant 3.00 N/m is compressed by 7.60 cm as it is held between a…

A: If we compress or stretch a spring having spring constant k, against its equilibrium position then…

Q: One end of a spring is attached to a fixed wall while a 0.31 kg block is attached to the other…

A:

Q: Initially sliding with a speed of 4.3 m/sm/s, a 2.0 kg block collides with a spring and compresses…

A:

Q: When a 308.3-kg refrigerator is loaded onto a 1200-kg car, the springs of the car compress by 1.39…

A: Given  Mass of car (mc)= 1200 kg Mass of 1st refrigerator (mr)= 308.3 kg Compression in spring (x)=…

Q: What stretch is necessary for the spring in this Example to have a potential energy of 5.00 J?

A: Given- In spring potential energy (U) is stored = 5 J Spring constant (k) = - (Force / (extension or…

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.