Answer:
Explanation:
Acceleration of cylinder
a = g sin 30 / 1+ k² / r² where k is radius of gyration and r is radius of cylinder.
For cylinder k² = (1 / 2) r²
acceleration
= gsin30 / 1.5
= g / 3
= 3.27
v² = u² + 2as
= 2 x 3.27 x 6
v = 6.26 m /s
v = angular velocity x radius
6.26 = angular velocity x .10
angular velocity = 62.6 rad / s
b ) vertical component of velocity
= 6.26 sin 30
= 3.13 m /s
h = ut + 1/2 g t²
5 = 3.13 t + .5 t²
.5 t²+ 3.13 t- 5 = 0
t = 1.32 s
horizontal distance covered
= 6.26 cos 30 x 1.32
= 7.15 m
When a balloon is warmed by a lamp it just pops
Answer:
1st digestion
2nd Most chemical changes in digestion occur in the small intestine
Explanation:
Answer:

Explanation:
Kinetic energy is the energy an object possesses due to motion. The formula 1/2 the product of mass and the squared velocity.

We know the baseball's kinetic energy is 105 Joules. It is also traveling at a velocity of 10 meters per second. `
First, convert the units of Joules to make unit cancellation easier later in the problem. 1 Joule (J) is equal to 1 kilogram square meter per square second (kg*m²/s²). The baseball's kinetic energy of 105 J is equal to 105 kg*m²/s².
Now we know 2 values:
Substitute these values into the formula.

Now we need to solve for m, the mass. Solve the exponent.
- (10 m/s)²= 10 m/s * 10 m/s = 100 m²/s²

Multiply on the right side.


The variable, m, is being multiplied by 50 square meters per square second. The opposite of multiplication is division, so we divide both sides by that value.


The units of square meter per square second will cancel out.


The mass of the baseball is <u>2.1 kilograms. </u>