We read your photo as:

A centripetal force 25N acts on a body of mass 0.5kg tied to a string of length 1.5m and wheeled around in a horizontal circle. Calculate the speed of the body.

Physics

ScanSolve AI Answer

Answer

8.66 m/s\text{8.66 m/s}

Step-by-step solution

5 steps
  1. Identify the given values.

    The centripetal force Fc=25 NF_c = 25\, \text{N}.
    The mass of the body m=0.5 kgm = 0.5\, \text{kg}.
    The length of the string (which is the radius of the circle) r=1.5 mr = 1.5\, \text{m}.

  2. State the formula for centripetal force.

    The formula for centripetal force is:

    Fc=mv2rF_c = \frac{mv^2}{r}

    where vv is the speed of the body.

  3. Rearrange the formula to solve for speed (vv).

    To find vv, we rearrange the formula:

    v2=Fc⋅rmv^2 = \frac{F_c \cdot r}{m} v=Fc⋅rmv = \sqrt{\frac{F_c \cdot r}{m}}
  4. Substitute the given values into the formula.

    Substitute Fc=25 NF_c = 25\, \text{N}, r=1.5 mr = 1.5\, \text{m}, and m=0.5 kgm = 0.5\, \text{kg}:

    v=25 N×1.5 m0.5 kgv = \sqrt{\frac{25\, \text{N} \times 1.5\, \text{m}}{0.5\, \text{kg}}}
  5. Calculate the speed.

    v=37.50.5 m/sv = \sqrt{\frac{37.5}{0.5}}\, \text{m/s} v=75 m/sv = \sqrt{75}\, \text{m/s} v≈8.660 m/sv \approx 8.660\, \text{m/s}

    The speed of the body is approximately 8.66 m/s\text{8.66 m/s}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp