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max2010maxim [7]
3 years ago
10

A bullet with a mass m b = 11.5 g is fired into a block of wood at velocity v b = 249 m/s. The block is attached to a spring tha

t has a spring constant k of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass of the wooden block.
Physics
1 answer:
Ostrovityanka [42]3 years ago
4 0

Answer:

0.358Kg

Explanation:

The potential energy in the spring at full compression = the initial kinetic energy of the bullet/block system

0.5Ke^2 = 0.5Mv^2

0.5(205)(0.35)^2 = 12.56 J = 0.5(M + 0.0115)v^2

Using conservation of momentum between the bullet and the block

0.0115(265) = (M + 0.0115)v

3.0475 = (M + 0.0115)v

v = 3.0475/(M + 0.0115)

plugging into Energy equation

12.56 = 0.5(M + 0.0115)(3.0475)^2/(M + 0.0115)^2

12.56 = 0.5 × 3.0475^2 / ( M + 0.0115 )

12.56 = 0.5 × 9.2872/ M + 0.0115

12.56 = 4.6436/ M + 0.0115

12.56 ( M + 0.0115 ) = 4.6436

12.56M + 0.1444 = 4.6436

12.56M = 4.6436 - 0.1444

12.56 M = 4.4992

M = 4.4992÷12.56

M = 0.358 Kg

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A 29.1 liter tank contains ideal helium gas at 35.8°C and a pressure of 21.8 atm How many moles of gas are in the tank?
crimeas [40]

Answer:

No. of moles, n = 25.022 moles

Given:

Volume of gas in tank, V = 29.1 l

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Solution:

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3 0
2 years ago
3 An empty hot tub has a mass of 320 kg. When filled, the tub holds 600 gallons of water (rho = 62.4 lbm/ft3). The local acceler
ehidna [41]

Answer:

Total weight of the hot tub and water is 5676.6 pounds-force

Explanation:

rho = 62.4lbm/ft^3 × 1ft^3/7.481gal = 8.34lbm/gal

Mass of water = rho × volume = 8.34lbm/gal × 600 gallons = 5004lbm = 5004×0.45359kg = 2269.8kg

Total mass of hot tub and water = 320kg + 2269.8kg = 2589.8kg

Local acceleration due to gravity = 32ft/s^2 = 32ft/s^2 × 1m/3.2808ft = 9.75m/s^2

Total weight of hot tub and water = 2589.8kg × 9.75m/s^2 = 25250.55N = 25250.55/4.4482 lbf = 5676.6 lbf

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A constant net force acts on an object. Describe the motion of the object.
snow_tiger [21]

Answer:

the object is moving with constant acceleration

Explanation:

The motion refers to the change in the position of an object. It is described with respect to distance, displacement, velocity, speed, acceleration, and time. Momentum measures the motion of a body.

Shifting a block is an example of motion.

Force refers to the push or pulls on an object with mass. It results in a change in its velocity.

If a constant net force acts on an object, <u>the object moves with constant acceleration</u>

4 0
2 years ago
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