Answer:
The acceleration is 3.62 m/s²
Explanation:
Step 1: Data given
mass of the shell = 1.65 kg
angle = 38.0 °
Step 2: Calculate the acceleration
We have 2 forces working on the line of motion:
⇒ gravity down the slope = m*g*sinα
⇒ provides the linear acceleration
⇒ friction up the slope = F
⇒ provides the linear acceleration and also the torque about the CoM.
∑F = m*a = m*g*sin(α) - F
I*dω/dt = F*R
The spherical shell with mass m has moment of inertia I=2/3*m*R² Furthermore a pure rolling relates dω/dt and a through a = R dω/dt. So the two equations become
m*a = m*g sin(α) - F
2/3*m*a = F
IF we combine both:
m*a = m*g*sin(α) - 2/3*m*a
1.65a = 1.65*9.81 * sin(38.0) - 2/3 *1.65a
1.65a + 1.1a = 9.9654
2.75a = 9.9654
a = 3.62 m/s²
The acceleration is 3.62 m/s²
Answer:
Explanation:
The acceleration of the swimmer is obtained by this expression:
The force exerted on her by the water is:
1. B
2. C
3. A
4. A
5.C
6.D
7.B
Sorry tried my best
Let us consider the object to be a cell.
Explanation:
As a cell grows bigger, its internal volume enlarges and the cell membrane expands. This results in the increase in volume more rapidly than does the surface area, and so the relative amount of surface area available to pass materials to a unit volume of the cell steadily decreases. This means the surface area to the volume ratio gets smaller as the cell gets larger.
Example of a cube:
Cube size Surface area Volume
2cm 2 × 2 × 6 = 24 cm² 2 × 2 × 2 = 8 cm³
4 cm 4 × 4 × 6 = 96 cm² 4 × 4 × 4 = 64 cm³
6 cm 6 × 6 × 6 = 216 cm² 6 × 6 × 6 = 216 cm³
8 cm 8 × 8 × 6 = 384 cm² 8 × 8 × 8 = 512 cm³
This shows as the object gets larger, the volume of an object increases faster than the surface area.