Although acceleration usually causes a change in speed what causes a change in direction?

Two ice skaters approach each other at right angles. Skater A has a mass of 32.7 kg and travels in the x direction at 2.3 m/s. S

UkoKoshka [18]

Answer:

Final speed, v = 1.25 m/s

Explanation:

Given that,

Mass of skater A, $m_A=32.7\ kg$

Initial speed of skater A, $u_A=2.3i\ m/s$ (x axis)

Mass of skater B, $m_B=93.3\ kg$

Initial speed of skater B, $u_B=1.51j\ m/s$ (y axis)

It is mentioned that the two skaters collide and cling together. It is case of inelastic collision in which momentum remains conserved. Let V is the final speed of the couple. It is given by :

$m_Au_A+m_Bu_B=(m_A+m_B)V$

$32.7\times 2.3i+93.3\times 1.51j=(32.7+93.3)V$

$V=\dfrac{75.21i+140.88j}{126}$

$V=(0.59i+1.11j)\ m/s$

$|V|=1.25\ m/s$

So, the final speed of the couple is 1.25 m/s. Hence, this is the required solution.

3 0

3 years ago

If a system requires 150 j of input work and produces 123 J of output work, whats its effiency

Yuki888 [10]

The effiency of a machine is

(output work or energy) / (input work or energy) .

For the system described in the question, that's

(123 J) / (150 J) = 0.82 = 82% .

4 0

3 years ago

Two circular coils are concentric and lie in the same plane. The inner coil contains 110 turns of wire, has a radius of 0.014 m,

Hatshy [7]

Answer:

The current flowing through the outer coils is

Explanation:

From the question we are told that

The number of turn of inner coil is $N _i = 110 \ turns$

The radius of inner coil is $r_i = 0.014 \ m$

The current flowing through the inner coil is $I_i = 9.0 \ A$

The number of turn of outer coil is $N_o = 160 \ turns$

The radius of outer coil is $r_o = 0.022\ m$

For net magnetic field at the common center of the two coils to be zero the current flowing in the outer coil must be opposite to current flowing inner coil

The magnetic field due to inner coils is mathematically represented as

$B_i = \frac{N_i \mu I}{2 r_i}$