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3 years ago

The metric unit of force is the

Physics

2 answers:

Ksivusya [100]3 years ago

5 0

Answer:

newton

Explanation:

Mandarinka [93]3 years ago

3 0

The metric unit of force is the Newton. It's the force that accelerates
1 kilogram of mass at the rate of 1 meter per second² .

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A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by V =[5.00m/s

beks73 [17]

Equation of velocity is given as

$V =[5.00m/s−(0.0180m/s^3)t^2]i^ + [2.00m/s+(0.550m/s^2)t]j^$

at t = 7.93 s

$v = 3.87 \hat i + 6.36 \hat j$

so the magnitude of the velocity is given as

$v = \sqrt{3.87^2 + 6.36^2}$

$v = 7.45 m/s$

Part b)

the direction of the velocity is given as

$\theta = tan^{-1}\frac{6.36}{3.87}$

$\theta = 58.7 degree$

part c)

for acceleration we know that

$a = \frac{dv}{dt}$

$a = -0.036 t\hat i + 0.550\hat j$

at t = 7.93 s

$a = -0.285\hat i + 0.550\hat j$

magnitude is given as

$a = \sqrt{0.285^2 + 0.550^2}$

$a = 0.62 m/s^2$

Part d)

for the direction of the motion

$\theta = tan^{-1}\frac{0.550}{-0.285}$

$\theta = 117.4 degree$

4 0

3 years ago

the passengers in a roller coaster feel 50 heavier than their true weight as the car goes through a dip with a 30m radius of cur

NeTakaya

Answer:

v = 12.12 m/s

Explanation:

Given that,

Radius of the curvature, r = 30 m

To find,

The car's speed at the bottom of the dip.

Solution,

Let mg is the true weight of the passenger. When it is moving in the circular path, the centripetal force act on it. It is given by :

$F=\dfrac{mv^2}{r}$

The normal reaction of the passenger is given by :

$N=mg-50\%mg$

N = 1.5 mg

Let v is the car's speed at the bottom of the dip. It can be calculated as:

$1.5\ mg-mg=\dfrac{mv^2}{r}$

$v=\sqrt{0.5gr}$

$v=\sqrt{0.5\times 9.8\times 30}$

v = 12.12 m/s

So, the speed of the car at the bottom of the dip is 12.12 m/s. Hence, this is the required solution.

7 0

3 years ago

The dimensions of a cylinder are changing, but the height is always equal to the diameter of the base of the cylinder. If the he

VashaNatasha [74]

Answer:

dV/dt = 9 cubic inches per second

Explanation:

Let the height of the cylinder is h

Diameter of cylinder = height of the cylinder = h

Radius of cylinder, r = h/2

dh/dt = 3 inches /s

Volume of cylinder is given by

$V = \pi r^{2}h$

put r = h/2 so,

$V = \pi \frac{h^{3}}{4}$

Differentiate both sides with respect to t.

$\frac{dV}{dt}=\frac{3h^{2}}{4}\times \frac{dh}{dt}$

Substitute the values, h = 2 inches, dh/dt = 3 inches / s

$\frac{dV}{dt}=\frac{3\times 2\times 2}{4}\times 3$

dV/dt = 9 cubic inches per second

Thus, the volume of cylinder increases by the rate of 9 cubic inches per second.

6 0

3 years ago

Which of the following statements are true? Select all that apply.

beks73 [17]

Answer:

The following options are true based on the properties of electric field;

a) Electric field lines near positive point charges radiate outward.

b) The electric force acting on a point charge is proportional to the magnitude of the point charge.

d) In a uniform electric field, the field lines are straight, parallel, and uniformly spaced.

Explanation:

From option b) From coulomb's law F = Kq1q2r/r2

5 0

4 years ago

Why is gravity important in the solar system

Orlov [11]

Gravity causes the motions of planets, stars, and galaxies. It's why the Moon orbits around the Earth, and the Earth orbits around the Sun, and the solar system orbits around the galaxy.

7 0

4 years ago

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