A dart gun contains a spring of spring constant k = 17 N/m which is used to fire a dart of mass m. The dart leaves the gun at a speed of v = 3.5 m/s after the spring is compressed 1 cm. What angle, θ in degrees, does the dart's final velocity make with the horizontal?

Q: Consider a frictionless track as shown in the figure below. A block of mass m1 = 2.00 kg is…

A: 2)vf                  vf = 2*4.752+2 m/s                  vf = 2.

Q: A block of mass 11.8 kg slides from rest down a frictionless 35.6∘∘ incline and is stopped by a…

A: Since the incline is frictionless and no other non-conservative forces are acting on the system, the…

Q: an air-track glider of mass 0.100 kg is attached to the end of a horizontal air track by a spring…

A:

Q: A ball of mass m = 2.00 kg is released from rest at a height h = 72.0 cm above a light vertical…

A: a) let speed of the ball just as it touches the spring is v  by mechanical energy conservation…

Q: An object with mass m = 8.0 kg is released from rest from a height H = 11 m as shown in the figure.…

A:

Q: A 1.68 kg ball rolls on a frictionless horizontal surface at 4.52 m/s and collides with a stationary…

A: Write the given values with the suitable variables. m1=1.68 kgu1=4.52 m/sm2=1.22 kgu2=0 m/sk=1758…

Q: In the figure, a block of mass m = 3.30 kg slides from rest a distance d down a frictionless incline…

A: Mass (m) = 3.3kg   θ = 35.0 ˚ ( Angle of inclination)   Spring constant (k)= 450N/m  Compression (x)…

Q: A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal…

A: Given,Mass of the block, m = 3.53 kgspring is compresed by the length, x = 5.00 cmequilibrium…

Q: A 1.63 kg ball rolls on a frictionless horizontal surface at 5.5 m/s and collides with a stationary…

A: Mass of the ball m1=1.63 kg, velocity of the ball before collision u=5.5 m/s, velocity of ball after…

Q: A block of mass m = 3.9 kg slides on a horizontal rough surface head on into a spring of spring…

A: Given : m=3.9 kg              k=370 N/m              μ=0.15              x=0.055 m…

Q: A mass m1 = 8.00 kg is in equilibrium while connected to a light spring of constant k = 155 N/m, as…

A:

Q: A puck is made up of two parts connected by a compressed spring. mi-0 3001kg [R] SPRING Ax=0:0624 m…

A:

Q: 3. A 1.0 kg block at rest on a horizontal frictionless sur- face is connected to an unstretched…

A:

Q: A bullet with a mass m(b)=13.1 g is fired into a block of wood at velocity v(b)=261 m/s. The block…

A: Given, a bullet with a mass mb=13.1 g = 0.0131 kg is fired into a block of wood at velocity vb=261…

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A:

Q: An object with mass m = 5.0 kg is released from rest from a height H = 11 m as shown in the figure.…

A:

Q: A ball of mass m = 1.75 kg is released from rest at a height h = 57.0 cm above a light vertical…

A:

Q: A block of mass m = 5.4 kg slides on a rough surface and moves toward a spring with a spring…

A:

Q: spring with a constant of 50.0 N/cm. The launcher is prepared by compressing the spring by 5.00 cm.…

A:

Q: A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected…

A:

Q: A dart gun contains a spring of spring constant k = 17 N/m which is used to fire a dart of mass m.…

A: From the conservation of energy

Q: A hockey puck sliding along frictionless ice with speed ν to the right collides with a horizontal…

A: Given ,  speed of hockey puck before colliding with spring , u1 =v               speed of hockey…

Q: A bullet with mass 4.74 g is fired horizontally into a 2.131 kg block attached to a horizontal…

A:

Q: A 0.180-kg round puck is placed inside a horizontal spring-loaded on a frictionless surface. The…

A:

Q: Two blocks (A of mass 1.47 kg and B of mass 2.94 kg) resting on a frictionless horizontal table are…

A: SOlution:

Q: The massless spring of a spring gun has a force constant k = 12.5 N/cm. When the gun is aimed…

A: force constant = K = 12.5 N/cm = 1250 N/m mass = m = 10 g = 0.01 kg height = h = 5 m

Q: A block of mass 12.0 kg slides from rest down a frictionless 35.0° incline and is stopped by a…

A:

Q: A block of mass m1 = 12.5 kg slides along a horizontal surface (with friction, μk = 0.29) a distance…

A:

Q: a block of mass m= 3.20 kg slides from rest a distance d down a frictionless incline at angle u =…

A: As there is no external or non-conservative force mechanical energy will remain conserved.

Q: Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring…

A:

Q: A bullet of mass 1.3×10−3 kg embeds itself in a wooden block with mass 0.996 kg, which then…

A: Given Data The mass of the bullet is m1 = 1.3 x 10-3 kg The mass of the block is m2 = 0.996 kg. The…

Q: A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k =…

A: Work energy theorem states that the work done on a particle by the resultant force is equal to the…

Q: A 5.0-kg block is approaching an ideal massless spring at a speed of v = 5.0 m/s álong a horizontal…

A: Mass of the block is m = 5.0 kg Velocity of the block is v = 5.0 m/s Maximum compression in the…

Q: A 1.62 kg ball rolls on a frictionless horizontal surface at 4.59 m/s and collides with a stationary…

A:

Q: An inclined plane of angle e = 20.0° has a spring of force constant k = 520 N/m fastened securely at…

A:

Q: Smouth swface F2.50m he 3.00m E; Ei + WNC A 34.2 kg block slides with a velocity of 10.22 m/s to the…

A: Frictional force on horizontal = μ mg   = 0.325 ×34.2 × 9.8  = 108.93 N

Q: A box of mass m = 10 kg moves with a speed Vo-4.5 ms on a frietionless horizoutal floor as shown in…

A: Given: The mass of the box is m=10 kg. The velocity is V0=4.5 m/s. The spring constant is k=5 kN/m.…

Q: A 3.0 kg block slides with a speed of 2.3 m/s on a frictionless horizontal surface until it…

A: Given data: Mass of the block is, m= 3 kg The speed of the block is, v = 2.3 m/s The block…

Q: 110

A: Spring constant (k)= 40 N/mmass (m)= 0.5 kg θ = 30o∆x (compression) = 0.20 m

Q: bullet with a mass mb=11.9 g is fired into a block of wood at velocity vb=245 m/s. The block is…

A: Apply conservation of momentum principle mbvb=mb+mwv11.9×10-3 kg245 ms=mb+mwv2.9155 kg ms=mb+mwv…

Q: mass m = 40 Kg, which was at rest. (Perfectly inelastic shock) and together they go up the channel…

A: The mass of the block A is m1 = 10 kg  The mass of the block B is m2 = 40 kg  The compressed…

Q: A block of mass m = 0.6 kg slides on a horizontal rough surface head on into a spring of spring…

A: Given:  Block's mass, m=0.6 kg Block distance from spring, x=1.1 m Block velocity, v=3.82 m/s Spring…

Q: a bullet with the mass 5kg is fired horizontally into a 2kg block attached to a horizontal spring.…

A:

Q: A 1.71 kg ball rolls on a frictionless horizontal surface at 5.17 m/s and collides with a stationary…

A: Calculate the velocity of block after impact by using conservation of linear momentum.…

Q: The massless spring of a spring gun has a force constant k = 12 N/cm. When the gun is aimed…

A:

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.