One game at the amusement park has you push a puck up a long, frictionless ramp. You win a stuffed animal if the puck, at its hi

Answer: damping coefficient = 1.5×10^5Ns/m

Explanation:

Refer to the attached file for the solution

Answer:

b. 9.5°C

Explanation:

= Ice mass = 50 g

= Initial temperature of water and aluminum = 30°C

= Latent heat of fusion =

= Water mass = 200 g

= Water's specific heat = 4186 J/kg⋅°C

= Aluminum mass = 80 g

= Aluminum's specific heat = 900 J/kg⋅°C

The equation governing heat exchange in the system is presented by

The final equilibrium temperature calculates to 9.50022°C

Answer:

2023857702.507 m

Explanation:

Using Newton's law of gravitation:

G = gravitational constant

m_shrew = 50 g

m_elephant = 5 × 10^3 kg

r_earth = Earth's radius, 6400 km or 6,400,000 m

m_earth = Earth's mass

Equate the gravitational forces:

G m_shrew m_earth / r_earth^2 = G m_elephant m_earth / r^2

Cancel common terms on both sides:

m_shrew / r_earth^2 = m_elephant / r^2

Rearranged to solve for r^2:

r^2 = (m_elephant × r_earth^2) / m_shrew

Substituting the values:

r^2 = 4.096 × 10^{13}

Taking square root gives:

r = 2,023,857,702.507 m