A ball is dropped from a height of 10 meters how long was the ball in the air and what is the speed when it hits the ground

How is elevation shown on a topographic map?

Jlenok [28]

Answer:

contour lines

Explanation:

just looked at my notes and said contour lines

7 0

4 years ago

Read 2 more answers

How is the tesla coil used today

marshall27 [118]

H<span>igh voltage demonstrations!</span>

6 0

3 years ago

Read 2 more answers

A torque of 36.5 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result

vivado [14]

Answer:

$21.6\ \text{kg m}^2$

$3.672\ \text{Nm}$

$54.66\ \text{revolutions}$

Explanation:

$\tau$ = Torque = 36.5 Nm

$\omega_i$ = Initial angular velocity = 0

$\omega_f$ = Final angular velocity = 10.3 rad/s

t = Time = 6.1 s

I = Moment of inertia

From the kinematic equations of linear motion we have

$\omega_f=\omega_i+\alpha_1 t\\\Rightarrow \alpha_1=\dfrac{\omega_f-\omega_i}{t}\\\Rightarrow \alpha_1=\dfrac{10.3-0}{6.1}\\\Rightarrow \alpha_1=1.69\ \text{rad/s}^2$

Torque is given by

$\tau=I\alpha_1\\\Rightarrow I=\dfrac{\tau}{\alpha_1}\\\Rightarrow I=\dfrac{36.5}{1.69}\\\Rightarrow I=21.6\ \text{kg m}^2$

The wheel's moment of inertia is $21.6\ \text{kg m}^2$

t = 60.6 s

$\omega_i$ = 10.3 rad/s

$\omega_f$ = 0

$\alpha_2=\dfrac{0-10.3}{60.6}\\\Rightarrow \alpha_1=-0.17\ \text{rad/s}^2$

Frictional torque is given by

$\tau_f=I\alpha_2\\\Rightarrow \tau_f=21.6\times -0.17\\\Rightarrow \tau=-3.672\ \text{Nm}$

The magnitude of the torque caused by friction is $3.672\ \text{Nm}$

Speeding up

$\theta_1=0\times t+\dfrac{1}{2}\times 1.69\times 6.1^2\\\Rightarrow \theta_1=31.44\ \text{rad}$

Slowing down

$\theta_2=10.3\times 60.6+\dfrac{1}{2}\times (-0.17)\times 60.6^2\\\Rightarrow \theta_2=312.03\ \text{rad}$

Total number of revolutions

$\theta=\theta_1+\theta_2\\\Rightarrow \theta=31.44+312.03=343.47\ \text{rad}$

$\dfrac{343.47}{2\pi}=54.66\ \text{revolutions}$

The total number of revolutions the wheel goes through is $54.66\ \text{revolutions}$ .

3 0

3 years ago

What process makes this pattern on the ocean floor?

Katen [24]

Plate tectonics

and the ocean floor
Bathymetry, the shape of the ocean floor, is largely a result of a process called plate tectonics.

please give me brainliest

4 0

3 years ago

Mickey, a daredevil mouse of mass 0.0227 kg,0.0227 kg, is attempting to become the world's first "mouse cannonball." He is loade

Viefleur [7K]

Answer:

1.65 m

Explanation:

Energy from spring, $E_{s}$ is given by

$E_{s}=0.5kx^{2}$ where k is spring constant and x is the compression distance

$E_{s}=0.5*51.1*0.129^{2}= 0.425178$

$E_{s}=0.425 J$

Kinetic energy, KE at the highest point is given by

$KE=0.5mv^{2}$ where m is mass and v is velocity

KE=0.5*0.0227*2.27= 0.058485 J

Potential energy, PE of spring is given by

PE=mgh where g is gravitational constant and h is maximum height reached by the mouse

PE=0.0227*9.81= 0.222687h

According to the principle of conservation of energy, the potential energy of the compressed spring is equal to the potential and kinetic energy of the mouse at the maximum high point.

$E_{s}=PE+KE$

0.425=0.222687h+0.058485

h=(0.425-0.058485)/ 0.222687=1.646671 m

h=1.65 m

7 0

3 years ago