A compact car has a maximum acceleration of 4.0 m/s2 when it carries only the driver and has a total mass of 1200 kg . you may w

I sincerely hope this information proves useful to you.

Answer:

  = 1,386 m / s

Explanation:

The mechanism behind rocket propulsion is defined by the formula

        - v₀ =   ln (M₀ / Mf)

Here, v refers to the initial, final, and relative velocities, while M indicates the masses

The provided values include the relative velocity (see = 2000 m / s) and the initial mass, where the mass of the rocket when loaded is represented as (M₀ = 5Mf)

For our analysis, we assume the rocket begins at rest (v₀ = 0)

Once half of the fuel has burnt, the mass ratio indicates that the current mass is    

       M = 2.5 Mf

        - 0 = 2000 ln (5Mf / 2.5 Mf) = 2000 ln 2

        = 1,386 m / s

x₂ = 16 g m₂ / k. The spring's behavior adheres to Hooke's law, expressed as F = k x. For equilibrium illustrated in Newton's diagram, F - W = 0 and k x₁ = m₁ g, leading to k = g m₁ / x₁. In an elevator moving upward with acceleration, the relation adjusts to F - W = m a, which gives F = m (g + a). Compression becomes K x₂ = 4 m (g + 3g), simplifying to x₂ = 4m / k (4g) and ultimately x₂ = 16m2 / k g.

Answer:

3.3kg

Explanation:

Given information:

Spring constant = 400N/m

Extension = 8cm = 0.08m

We need to determine:

The mass that the spring can support =?

Solution:

To arrive at the solution:

     F = kE

F represents the force

k is the spring constant

E is the extension

So;

            F = 400 x 0.08 = 32N

Mass;

       Force = mass x gravitational acceleration

          32 = mass x 9.8

  Therefore, mass = 3.3kg

C.) The energy stored in the capacitor becomes twice its initial value.