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lara31 [8.8K]
3 years ago
11

A car goes from 4.47 m/s to 17.9 m/s in 3 seconds. calculate the acceleration of the car

Physics
2 answers:
Vanyuwa [196]3 years ago
5 0

Answer:

4.48 m/s²

Explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

a = (17.9 m/s − 4.47 m/s) / 3 s

a = 4.48 m/s²

Lera25 [3.4K]3 years ago
4 0

Answer:

\boxed {\tt a \approx4.48 \ m/s^2}

Explanation:

Acceleration can be found by dividing the change in velocity over the time.

a=\frac{\Delta v}{t}

The change in velocity can be found by subtracting the final velocity by the initial velocity.

\Delta v= final \ velocity - initial \ velocity

The final velocity is 17.9 meters per second.

The initial velocity is 4.47 meters per second.

\Delta v=17.9 \ m/s-4.47 \ m/s

\Delta v=13.43 \ m/s

The change in velocity is 13.43 meters per second and the time is 3 seconds.

a=\frac{13.43 \ m/s}{3 \ s}

Divide.

a=4.47666667 \ m/s^2

a \approx4.48 \ m/s^2

The acceleration is about 4.48 meters per seconds squared.

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tan \theta =\frac{A}{B}=\frac{10}{10}=1

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A fixed 11.2-cm-diameter wire coil is perpendicular to a magnetic field 0.53 T pointing up. In 0.10 s , the field is changed to
Karolina [17]

Answer:

The average induced emf in the coil is 0.0286 V

Explanation:

Given;

diameter of the wire, d = 11.2 cm = 0.112 m

initial magnetic field, B₁ = 0.53 T

final magnetic field, B₂ = 0.24 T

time of change in magnetic field, t = 0.1 s

The induced emf in the coil is calculated as;

E = A(dB)/dt

where;

A is area of the coil = πr²

r is the radius of the wire coil = 0.112m / 2 = 0.056 m

A = π(0.056)²

A = 0.00985 m²

E = -0.00985(B₂-B₁)/t

E = 0.00985(B₁-B₂)/t

E = 0.00985(0.53 - 0.24)/0.1

E = 0.00985 (0.29)/ 0.1

E = 0.0286 V

Therefore, the average induced emf in the coil is 0.0286 V

3 0
3 years ago
Underground water is being pumped into a pool whose cross section is 3 m x 4 m while water is discharged through a 0.076m-diamet
Svetllana [295]
Given:

Area of pool = 3m×4m
Diameter of orifice = 0.076m
Outlet Velocity = 6.3m/s
Accumulation velocity = 1.5cm/min

Required:

Inlet flowrate

Solution:

The problem can be solved by this general formula.

Accumulation = Inlet flowrate - Outlet flowrate
Accumulation velocity × Area of pool = Inlet flowrate - Outlet velocity × Area of orifice

First, we need to convert the units of the accumulation velocity into m/s to be consistent.

Accumulation velocity = 1.5cm/min × (1min/60s)×(1m/100cm)
Accumulation velocity = 0.00025 m/s

We then calculate the area of the pool and the area of the orifice by:

Area of pool = 3 × 4 m²
Area of pool = 12m²

Area of orifice = πd²/4 = π(0.076m)²/4
Area of orifice = 0.00454m²

Since we have all we need, we plug in the values to the general equation earlier

Accumulation velocity × Area of pool = Inlet flowrate - Outlet velocity × Area of orifice

0.00025 m/s × 12m² = Inlet flowrate - 6.3m/s × 0.00454m²

Transposing terms,

Inlet flowrate = 0.316 m³/s
6 0
3 years ago
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